We have the following indirect implication of form equivalence classes:
| Implication | Reference |
|---|---|
| 179-epsilon \(\Rightarrow\) 144 | clear |
| 144 \(\Rightarrow\) 414 |
Constructive order theory, Ern'e, M. 2001, Math. Logic Quart. |
Here are the links and statements of the form equivalence classes referenced above:
| Howard-Rubin Number | Statement |
|---|---|
| 179-epsilon: | Suppose \(\epsilon > 0\) is an ordinal. \(\forall x\), \(x\in W(\epsilon\)). |
| 144: | Every set is almost well orderable. |
| 414: | Every \(\cal W\)-frame is a \(\cal D\)-frame. \ac{Ern\'e} \cite{2000} |
Comment: